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Theory and Modern Applications

Table 5 Error norms and spectral radius for the solution of Example 1 in Case 1.4

From: An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations

T

Present method using CGL points

[46]

\(L_{\infty }\)

\(L_{2}\)

RMS

CPU time

ρ(M)

\(L_{\infty }\)

0.01

5.52020E−06

1.61179E−05

2.80576E−06

0.04790

0.99996

6.42780E−05

1

6.44885E−04

1.88153E−03

3.27533E−04

0.23661

0.99996

9.45430E−04

5

2.84188E−03

8.78479E−03

1.52924E−03

1.02861

0.99996

3.42880E−03

10

5.10071E−03

1.48716E−02

2.58882E−03

1.97531

0.99998

6.51530E−03